Theorem REF  has seen a number of extensions and generalizations. In [1]}, Bourgain and Gamburd proved a variant of REF  with a less restrictive version of the non-concentration condition (REF ), while in [2]} Guth, Katz, and the second author found a simple new proof of Theorem REF  that yields an explicit lower bound on the exponent \(\varepsilon \) . Theorem REF  has also been generalized to \(SU(2)\)  [1]} as well as other settings [4]}, [5]}, [6]}, [7]}.
